For affine cipher, the key is a = 17, b = 10 so the enciphering function is
C(7,10)(p) = 17p + 10 mod 26.
a) Find the deciphering function for this cipher. Show your steps
b) If the ciphertext is AKV, what is the plaintext?
a) Let denote plane text and denote cipher text.
Given the enciphering function
That is
Which implies
We have for any integer coprime to 26
Since 17 is coprime to 26, from above we get
Now
Then
b)
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